Question

a regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. what is the approximate area of the hexagon? 224 cm² 336 cm² 448 cm² 672 cm²

Explanation:

Step1: Recall the area formula for a regular polygon

The area formula for a regular polygon is $A=\frac{1}{2}ap$, where $a$ is the apothem and $p$ is the perimeter.

Step2: Substitute the given values

We are given that $a = 14$ cm and $p=96$ cm. Substitute these values into the formula: $A=\frac{1}{2}\times14\times96$.
First, calculate $\frac{1}{2}\times14 = 7$. Then, $7\times96=672$ $cm^{2}$.

Answer:

$672$ $cm^{2}$